Let r(t)=<3t52,e3t,5sin(4t)>\displaystyle \vec{{r}}{\left({t}\right)}=<-{3}{t}^{{{5}}}-{2},-{e}^{{-{3}{t}}},{5}{\sin{{\left({4}{t}\right)}}}>

Find r(t)\displaystyle \vec{{r}}'{\left({t}\right)}

r(t)\displaystyle \vec{{r}}'{\left({t}\right)} = < , , >
<   ,   ,   >